What’s is the solution to the equation x to the power of 2 =16/25

Answer:

[tex]\boxed {\boxed {\sf 53}}[/tex]

Step-by-step explanation:

This is a right triangle, which we know because of the little square in the corner.

We can use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

In this triangle, 28 and 45 are the legs, because they make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle.

[tex]a=28 \\b=45 \\[/tex]

[tex](28)^2+(45)^2=c^2[/tex]

Solve the exponents.

[tex]784+(45)^2=c^2[/tex]

[tex]784+2025=c^2[/tex]

Add the two numbers.

[tex]2809=c^2[/tex]

Solve for c by isolating it on one side of the equation. c is being squared. The Inverse of a square is the square root. Take the square root of both sides of the equation.

[tex]\sqrt{2809} =\sqrt{c^2}[/tex]

[tex]\sqrt{2809} = c[/tex]

[tex]53=c[/tex]

The third side and hypotenuse of the triangle is 53

[tex]\pink{\sf Third \: side \: of \: the \: triangle = 53}[/tex]

As, the given triangle is a right angled triangle,

Hence, We can use the Pythagoras' Theorem,

[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]

Here,

In given triangle,

Now, by Pythagoras' theorem,

[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]

[tex] \sf : \implies H^{2} = (45)^{2} + (28)^{2}[/tex]

[tex] \sf : \implies H^{2} = 45 \times 45 + 28 \times 28[/tex]

[tex] \sf : \implies H^{2} = 2025 + 784[/tex]

[tex] \sf : \implies H^{2} = 2809[/tex]

By squaring both sides :

[tex] \sf \sqrt{H^{2}} = \sqrt{2809}[/tex]

[tex] \sf : \implies H^{2} = \sqrt{2809}[/tex]

[tex] \sf : \implies H^{2} = \sqrt{(53)^{2}}[/tex]

[tex] \sf : \implies H^{2} = 53 [/tex]

[tex]\pink{\sf \therefore \: Third \: side \: of \: the \: triangle \: is \: 53}[/tex]

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Step-by-step explanation:

x-5(x+1)=10

x-5x-5=10

-4x-5-10=0

-4x-15=0

-4x=-15

x=-15/-4

x=3.75

sorry...the answer is wrong..dont write

Answer:

no solution

Step-by-step explanation:

Given

- 5 | x + 1 | = 10 ( divide both sides by - 5 )

| x + 1 | = - 2

To have a solution the right side of the equation must be positive or zero

No absolute value can have a negative solution

Thus the equation has no solution

Step-by-step explanation:

here,

x1= -5. x2=4

y1= -22. y2=r

slope(m)=3

now we have,

m=(y2-y1)/(x2-x1)

or,3=(r-(-22))/(4-(-5))

or,3=(r+22)/(4+5)

or,3=(r+22)/9

or,27=r+22

or,r=27-22

or,r=5

Answer:

hi

Step-by-step explanation:

im adding an answer so u can giveee the guy brailiestz

Answer:

376.8 m²

Step-by-step explanation:

The formula for finding the surface area of a cylinder is SA=2πr²+2πrh, where r is the radius of the base and h is the height of the cylinder. Using the diameter of the base, we can first calculate that the radius of the base is 10/2=5 meters. Then, we can plug our values into the equation.

SA=2πr²+2πrh

SA=2π(5)²+2π(5)(7)

SA=2π(25)+2π(35)

SA=50π+70π

SA=120π

Because the question asks us to use 3.14 for π, we plug that into our equation.

SA=120(3.14)

SA=376.8 m²

I hope this helps!

Answer:

11    n+7=18

31    n-9=22

7      5xm=35

50    m/5=10

15     18+s=33

17     40-s=23

3      27=9xs

6      18/s=3

5       m+m+12=22

2       m+14=18-m

Step-by-step explanation:

11: n+7=18

7: 5 x m =35

50: m/5 = 10

17: 40-s=23

3: 27= 9 x s

6: 18/s = 3

5: m+m+12 = 22

2: m+14 = 18-m

hope this helps!! :)

Answer:

192

Step-by-step explanation:

Given

4xyz ← substitute given values into expression

= 4 × - 2 × - 6 × 4 = - 8 × - 24 = 192

Answer:

Step-by-step explanation:CAN I HAVE YOURE POINTS AND ITS THE SECOND ONE

Answer: 3x - 3

Step-by-step explanation:

Each bag contained x counters and there are 3 bags.

He removes one counter from each of the 3 bags so the expression for the counters in each bag is now;

= x - 1

As there are 3 bags, the expression is;

= 3 * ( x - 1)

= 3x - 3

Answer:

Step-by-step explanation:

f(x)=-x+6

f(x+3)=-(x+3)+6=-x-3+6=-x+3

Answer:

f(x + 3) = -x + 3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = -x + 6

f(x + 3) is x = x + 3

Step 2: Evaluate

Answer:

E that's the answer if reflected it'd look like a mirror image

Answer:

The answer is E

Step-by-step explanation:

Answer:

I think B

Step-by-step explanation:

Uhh

Given:

Equation of line is [tex]y=\dfrac{1}{4}x-7[/tex].

The perpendicular line passes through (-2,-6).

To find:

The point slope form of perpendicular line.

Solution:

We have,

[tex]y=\dfrac{1}{4}x-7[/tex]

On comparing this equation with [tex]y=mx+b[/tex], we get

[tex]m=\dfrac{1}{4}[/tex]

Slope of given line is [tex]\dfrac{1}{4}[/tex].

Product of slopes of two perpendicular of the lines is -1.

So, [tex]Slope\times \dfrac{1}{4}=-1[/tex]

[tex]Slope=-4[/tex]

Slope of required line is -4 and it passes through (-2,-6). So, the point slope form is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

[tex]y-(-6)=-4(x-(-2))[/tex]

[tex]y+6=-4(x+2)[/tex]

Therefore, the correct option is A.

Answer:

5

Step-by-step explanation:

because thats the answer

Answer:

P'(0,0), E' (3,3), N'(6,3), T'(6,-3), A'(3,-3)

Step-by-step explanation:

1.The dilation is by a scale factor of 3/4 meaning it's less than one, meaning the image will get smaller.

2.To find the new coordinates, multiply 3/4 by each number in the coordinate pair. For example 4x3/4 is 3 making (4,4) (3,3).

Answer:

B

Step-by-step explanation:

1 4/5

Answer:

a = 49°

Step-by-step explanation:

Answer: 49

Step-by-step explanation: 180-82-49= 49

Answer:

6  1/4

Step-by-step explanation:

Answer:

I would start by adding/subracting the values in the numerator. by doing this you will get [tex]\frac{2}{4-2+3}[/tex] . Then do the same thing on the bottom to get [tex]\frac{2}{-1}[/tex] or -2

Answer:

I would start by adding/subracting the values in the numerator. by doing this you will get \frac{2}{4-2+3}

4−2+3

2

. Then do the same thing on the bottom to get \frac{2}{-1}

−1

2

or -2

Answer and Step-by-step explanation:

1. 3(5x - 4) = 8x + 2

15x - 12 = 8x + 2

15x - 8x = 2 + 12

7x = 14

x = 2

2. 9(n + 3) = 7n - 3

9n + 27 = 7n - 3

9n – 7n = -3 – 27

2n = – 30

n = –15

3. 2(10 - 6x) = x - 8x

20 - 12x = -7x

20 = -7x + 12x

20 = 5x

x = 4

4. 5a + 4(3a - 8) = 4 + 13a

5a + 12a - 32 = 4 + 13a

17a - 32 = 4 + 13a

17a - 13a = 4 + 32

4a = 36

a = 9

5. 2y + 18 = 12 - 6(y + 7)

2y + 18 = 12 - 6y - 42

2y + 6y = 12 - 42 - 18

8y = -48

y = -6

6. x - (5 - 3x) = 7x + 4

x - 5 + 3x = 7x + 4

4x - 7x= 4 + 5

-3x = 9

x = -3

7. 8(m - 5) = 2(3m - 8)

8m - 40 = 6m - 16

8m - 6m = -16 + 40

2m = 24

m = 12

8. -4(3 - 6d) = 9(2d - 2)

-12 + 24d = 18d - 18

24d - 18d = -18 + 12

6d = -6

d = -1

9. 7(10 - 3w) = 5(15 - 4w)

70 - 21w = 75 - 20w

-21w + 20w = 75 - 70

-w = 5

w = -5

10. 6t + 3(5t - 4) = 12(2t - 5)

6t + 15t - 12 = 24t - 60

21t - 24t = -60 + 12

- 3t = -48

t = 16

11. 2(9x - 1) = 99 - 7(3 - 4x)

18x - 2 = 99 - 21 + 28x

18x - 28x = 99 - 21+2

-10x = 80

x = -8

12. 6(5k - 8) - 20 = 11(2k - 3) + 3k

30k - 48 - 20 = 22k - 33 + 3k

30k - 68 = 25k - 33

30 - 25k = -33 + 68

5k = 35

k = 7

13. - x - (13 + 4x) = -3(5 - 9x) + 2

-x -13 - 4x = -15 + 27x + 2

-5x - 13 = -13 + 27x

-13 + 13 = 27x + 5x

0 = 32x

x = 0

Answer:

x = 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

The answer is 189.

Step-by-step explanation:

This geometric sequence is actually just a division of 2 for every term downwards. Therefore, we can see the first term is [tex]48 \cdot 2[/tex] which is 96. Hence, we can work our way down from there:

List:

First term: 96

Second term: 48

Third term: 24

Fourth term: 12

Fifth term: 6

Sixth term: 3

Now, all we have to do is to add all the first 6 terms together to get:

[tex]96 + 48 + 24 + 12 + 6 + 3[/tex]

[tex]= 189[/tex]

The answer is 189.

Hope this helped!

Answer:

T= y+ 3y-7  

Step-by-step explanation

I'm pretty sure you can also write T= 4y-7 as a simplified form of the equation

The formula for T in terms of y can be written as;

T= y+ 3y -7  

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that Dawn is y years old.

So, Rashid is three times as old as Dawn means R = 3y

Hugo is seven years younger than Dawn means H = y - 7

The total of Dawn's age, Rashid's age and Hugo's age is T years.

We can also write T= 4y-7 as a simplified form of the equation

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

Answer:

D. 12x³ + 32x - 8

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x³ + 8x - 2

k(x) = 4x

k(f(x)) is x = f(x)

Step 2: Find k(f(x))

Answer:

i cant read it sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = ax² + bx + c

a( - 7)² + b( - 7) + c = 134 ⇔ 49a - 7b + c = 134 ......... (1)

a( - 3)² + b( - 3) + c = 10 ⇔ 9a - 3b + c = 10 ......... (2)

a(5)² + b(5) + c = 50 ⇔ 25a + 5b + c = 50 ......... (3)

(1) - (2)

40a - 4b = 124 ⇔ 10a - b = 31 ........... (4)

(3) - (2)

16a + 8b = 40 ⇔ 2a + b = 5 ........... (5)

(4) + (5)

12a = 36 ⇒ a = 3

2(3) + b = 5 ⇒ b = - 1

9(3) - 3( - 1) + c = 10 ⇒ c = - 20

y = 3x² - x - 20

y = [ 3 ] x² + [ - 1 ] x + [ - 20 ]

Answer:

It actually (70, 195)

Step-by-step explanation:

The point that represents the location of the beetle 5 seconds after starting are;  (70, 195).

The pair of parametric equations to model the path of the beetle is;

x(t)= 14t and y(t)= 37t + 10

An animation shows a beetle crawling in a straight line from the point (0, 10) to the point (28, 84) in 2 seconds.

Proving the answer;

At t(0,10), x = 0 and y = 10

Thus;

For X-coordinate;

x(0) = 14(0)

x(0) = 0

Similarly;

For y-coordinate;

y(0) = 37(0) + 10

y(0) = 10

That corresponds with the coordinate t(0, 10).

At t = 2 seconds, we have;

For x-coordinate;

x(2) = 14(2)

x(2) = 28

Similalry, for the y-coordinate;

y(2) = 37(2) + 10

y(2) = 160

Now, At t = 2 seconds, we have;

For x-coordinate;

x(5) = 14(5)

x(5) = 70

Similalry, for the y-coordinate;

y(5) = 37(5) + 10

y(5) = 195

The point that represents the location of the beetle 5 seconds after starting are;  (70, 195).

Read more about Parametric Equations at;

brainly.com/question/10165611

#SPJ5

Answer: x-3y+21=0

Step-by-step explanation:

move the constant to the left then divide both sides then booom

Answer:

KJ = 40

Step-by-step explanation:

Usinh the similarity factor, LJ is similar with PR and QR is similar to KJ

and the similarity ratio is 56/42 = 4/3

which means KJ/30 = 4/3 cross multiply expressions

KJ = 40